Online GCD Calculator is useful to find the GCD of 462, 213, 220, 746 quickly. Get the easiest ways to solve the greatest common divisor of 462, 213, 220, 746 i.e 1 in different methods as follows.
Given Input numbers are 462, 213, 220, 746
In the factoring method, we have to find the divisors of all numbers
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
GCD of numbers is the greatest common divisor
So, the GCD (462, 213, 220, 746) = 1.
Given numbers are 462, 213, 220, 746
The list of prime factors of all numbers are
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 213 are 3 x 71
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 746 are 2 x 373
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 462, 213, 220, 746
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(462, 213) = 32802
GCD(462, 213) = ( 462 x 213 ) / 32802
= 462 / 213
= 462
Step2:
LCM(3, 220) = 660
GCD(3, 220) = ( 3 x 220 ) / 660
= 3 / 220
= 3
Step3:
LCM(1, 746) = 746
GCD(1, 746) = ( 1 x 746 ) / 746
= 1 / 746
= 1
So, Greatest Common Divisor of 462, 213, 220, 746 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 462, 213, 220, 746
The greatest common divisor of numbers 462, 213, 220, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 213, 220, 746 is 1.
1. What is the GCD of 462, 213, 220, 746?
GCD of given numbers 462, 213, 220, 746 is 1
2. How to calculate the greatest common divisor of 462, 213, 220, 746?
We can find the highest common divisor of 462, 213, 220, 746 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 462, 213, 220, 746 i.e 1.
3. How can I use the GCD of 462, 213, 220, 746Calculator?
Out the numbers 462, 213, 220, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.